%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL210-1 : TPTP v9.3.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:28:20 PM UTC 2026 % Result : Unsatisfiable 24.83s 3.59s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL210-1 : TPTP v9.3.1. Released v1.1.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.37 % Computer : n015.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Fri Sep 4 12:56:56 UTC 2026 % 0.10/0.38 % CPUTime : % 24.83/3.59 % SZS status Unsatisfiable % 24.83/3.59 % SZS output begin IncompleteProof % 24.83/3.59 cnf(c0, axiom, % 24.83/3.59 ~theorem(or(not(not(p)),or(not(or(p,q)),q)))). % 24.83/3.59 cnf(c1, plain, % 24.83/3.59 ~theorem(or(not(not(p)),or(not(or(p,q)),q))), % 24.83/3.59 inference(start, [], [c0])). % 24.83/3.59 % 24.83/3.59 cnf(c2, axiom, % 24.83/3.59 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)) | theorem(or(not(X2),X1))). % 24.83/3.59 cnf(a0, assumption, % 24.83/3.59 or(not(not(p)),or(not(or(p,q)),q)) = or(not(X2),X1)). % 24.83/3.59 cnf(c3, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 24.83/3.59 cnf(c4, plain, % 24.83/3.59 ~theorem(or(not(X0),X1)) | ~axiom(or(not(X2),X0)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 24.83/3.59 % 24.83/3.59 cnf(c5, axiom, % 24.83/3.59 ~theorem(X3) | ~axiom(or(not(X3),X4)) | theorem(X4)). % 24.83/3.59 cnf(a1, assumption, % 24.83/3.59 or(not(X0),X1) = X4). % 24.83/3.59 cnf(c6, plain, % 24.83/3.59 ~axiom(or(not(X2),X0)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 24.83/3.59 cnf(c7, plain, % 24.83/3.59 ~theorem(X3) | ~axiom(or(not(X3),X4)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 24.83/3.59 % 24.83/3.59 cnf(c8, axiom, % 24.83/3.59 ~theorem(or(not(X5),X6)) | ~axiom(or(not(X7),X5)) | theorem(or(not(X7),X6))). % 24.83/3.59 cnf(a2, assumption, % 24.83/3.59 X3 = or(not(X7),X6)). % 24.83/3.59 cnf(c9, plain, % 24.83/3.59 ~axiom(or(not(X3),X4)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 24.83/3.59 cnf(c10, plain, % 24.83/3.59 ~theorem(or(not(X5),X6)) | ~axiom(or(not(X7),X5)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 24.83/3.59 % 24.83/3.59 cnf(c11, axiom, % 24.83/3.59 ~theorem(X8) | ~axiom(or(not(X8),X9)) | theorem(X9)). % 24.83/3.59 cnf(a3, assumption, % 24.83/3.59 or(not(X5),X6) = X9). % 24.83/3.59 cnf(c12, plain, % 24.83/3.59 ~axiom(or(not(X7),X5)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 24.83/3.59 cnf(c13, plain, % 24.83/3.59 ~theorem(X8) | ~axiom(or(not(X8),X9)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 24.83/3.59 % 24.83/3.59 cnf(c14, axiom, % 24.83/3.59 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)) | theorem(or(not(X12),X11))). % 24.83/3.59 cnf(a4, assumption, % 24.83/3.59 X8 = or(not(X12),X11)). % 24.83/3.59 cnf(c15, plain, % 24.83/3.59 ~axiom(or(not(X8),X9)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 24.83/3.59 cnf(c16, plain, % 24.83/3.59 ~theorem(or(not(X10),X11)) | ~axiom(or(not(X12),X10)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 24.83/3.59 % 24.83/3.59 cnf(c17, axiom, % 24.83/3.59 ~theorem(or(not(X13),X14)) | ~axiom(or(not(X15),X13)) | theorem(or(not(X15),X14))). % 24.83/3.59 cnf(a5, assumption, % 24.83/3.59 or(not(X10),X11) = or(not(X15),X14)). % 24.83/3.59 cnf(c18, plain, % 24.83/3.59 ~axiom(or(not(X12),X10)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 24.83/3.59 cnf(c19, plain, % 24.83/3.59 ~theorem(or(not(X13),X14)) | ~axiom(or(not(X15),X13)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a5])], [c16, c17])). % 24.83/3.59 % 24.83/3.59 cnf(c20, axiom, % 24.83/3.59 ~theorem(X16) | ~axiom(or(not(X16),X17)) | theorem(X17)). % 24.83/3.59 cnf(a6, assumption, % 24.83/3.59 or(not(X13),X14) = X17). % 24.83/3.59 cnf(c21, plain, % 24.83/3.59 ~axiom(or(not(X15),X13)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 24.83/3.59 cnf(c22, plain, % 24.83/3.59 ~theorem(X16) | ~axiom(or(not(X16),X17)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a6])], [c19, c20])). % 24.83/3.59 % 24.83/3.59 cnf(c23, axiom, % 24.83/3.59 ~axiom(X18) | theorem(X18)). % 24.83/3.59 cnf(a7, assumption, % 24.83/3.59 X16 = X18). % 24.83/3.59 cnf(c24, plain, % 24.83/3.59 ~axiom(or(not(X16),X17)), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 24.83/3.59 cnf(c25, plain, % 24.83/3.59 ~axiom(X18), % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 24.83/3.59 % 24.83/3.59 cnf(c26, axiom, % 24.83/3.59 axiom(or(not(or(X19,X19)),X19))). % 24.83/3.59 cnf(a8, assumption, % 24.83/3.59 X18 = or(not(or(X19,X19)),X19)). % 24.83/3.59 cnf(c27, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 24.83/3.59 cnf(c28, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a8])], [c25, c26])). % 24.83/3.59 % 24.83/3.59 cnf(c29, axiom, % 24.83/3.59 axiom(or(not(or(not(X20),X21)),or(not(or(X22,X20)),or(X22,X21))))). % 24.83/3.59 cnf(a9, assumption, % 24.83/3.59 or(not(X16),X17) = or(not(or(not(X20),X21)),or(not(or(X22,X20)),or(X22,X21)))). % 24.83/3.59 cnf(c30, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a9])], [c24, c29])). % 24.83/3.59 cnf(c31, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a9])], [c24, c29])). % 24.83/3.59 % 24.83/3.59 cnf(c32, axiom, % 24.83/3.59 axiom(or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24))))). % 24.83/3.59 cnf(a10, assumption, % 24.83/3.59 or(not(X15),X13) = or(not(or(not(X23),X24)),or(not(or(X25,X23)),or(X25,X24)))). % 24.83/3.59 cnf(c33, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a10])], [c21, c32])). % 24.83/3.59 cnf(c34, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a10])], [c21, c32])). % 24.83/3.59 % 24.83/3.59 cnf(c35, axiom, % 24.83/3.59 axiom(or(not(or(X26,X27)),or(X27,X26)))). % 24.83/3.59 cnf(a11, assumption, % 24.83/3.59 or(not(X12),X10) = or(not(or(X26,X27)),or(X27,X26))). % 24.83/3.59 cnf(c36, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a11])], [c18, c35])). % 24.83/3.59 cnf(c37, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a11])], [c18, c35])). % 24.83/3.59 % 24.83/3.59 cnf(c38, axiom, % 24.83/3.59 axiom(or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30))))). % 24.83/3.59 cnf(a12, assumption, % 24.83/3.59 or(not(X8),X9) = or(not(or(X28,or(X29,X30))),or(X29,or(X28,X30)))). % 24.83/3.59 cnf(c39, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a12])], [c15, c38])). % 24.83/3.59 cnf(c40, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a12])], [c15, c38])). % 24.83/3.59 % 24.83/3.59 cnf(c41, axiom, % 24.83/3.59 axiom(or(not(or(X31,X32)),or(X32,X31)))). % 24.83/3.59 cnf(a13, assumption, % 24.83/3.59 or(not(X7),X5) = or(not(or(X31,X32)),or(X32,X31))). % 24.83/3.59 cnf(c42, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a13])], [c12, c41])). % 24.83/3.59 cnf(c43, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a13])], [c12, c41])). % 24.83/3.59 % 24.83/3.59 cnf(c44, axiom, % 24.83/3.59 axiom(or(not(or(X33,or(X34,X35))),or(X34,or(X33,X35))))). % 24.83/3.59 cnf(a14, assumption, % 24.83/3.59 or(not(X3),X4) = or(not(or(X33,or(X34,X35))),or(X34,or(X33,X35)))). % 24.83/3.59 cnf(c45, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a14])], [c9, c44])). % 24.83/3.59 cnf(c46, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a14])], [c9, c44])). % 24.83/3.59 % 24.83/3.59 cnf(c47, axiom, % 24.83/3.59 axiom(or(not(X36),or(X37,X36)))). % 24.83/3.59 cnf(a15, assumption, % 24.83/3.59 or(not(X2),X0) = or(not(X36),or(X37,X36))). % 24.83/3.59 cnf(c48, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 24.83/3.59 cnf(c49, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(strict_predicate_extension, [assumptions([a15])], [c6, c47])). % 24.83/3.59 % 24.83/3.59 cnf(c50, plain, % 24.83/3.59 $false, % 24.83/3.59 inference(constraint_solving, [ % 24.83/3.59 bind(X0, or(X26,X27)), % 24.83/3.59 bind(X1, or(not(or(p,q)),q)), % 24.83/3.59 bind(X2, not(p)), % 24.83/3.59 bind(X3, or(not(X7),X6)), % 24.83/3.59 bind(X4, or(not(X0),X1)), % 24.83/3.59 bind(X5, or(X25,X23)), % 24.83/3.59 bind(X6, or(X28,X30)), % 24.83/3.59 bind(X7, or(X31,X32)), % 24.83/3.59 bind(X8, or(not(X12),X11)), % 24.83/3.59 bind(X9, or(not(X5),X6)), % 24.83/3.59 bind(X10, or(not(X23),X24)), % 24.83/3.59 bind(X11, or(X22,X21)), % 24.83/3.59 bind(X12, or(X26,X27)), % 24.83/3.59 bind(X13, or(X22,X20)), % 24.83/3.59 bind(X14, or(X22,X21)), % 24.83/3.59 bind(X15, or(not(X23),X24)), % 24.83/3.59 bind(X16, or(not(or(X19,X19)),X19)), % 24.83/3.59 bind(X17, or(not(X13),X14)), % 24.83/3.59 bind(X18, or(not(or(X19,X19)),X19)), % 24.83/3.59 bind(X19, q), % 24.83/3.59 bind(X20, or(X19,X19)), % 24.83/3.59 bind(X21, q), % 24.83/3.59 bind(X22, not(or(X25,X23))), % 24.83/3.59 bind(X23, p), % 24.83/3.59 bind(X24, q), % 24.83/3.59 bind(X25, q), % 24.83/3.59 bind(X26, q), % 24.83/3.59 bind(X27, not(X23)), % 24.83/3.59 bind(X28, not(X12)), % 24.83/3.59 bind(X29, not(or(X25,X23))), % 24.83/3.59 bind(X30, q), % 24.83/3.59 bind(X31, p), % 24.83/3.59 bind(X32, q), % 24.83/3.59 bind(X33, not(X7)), % 24.83/3.59 bind(X34, not(X12)), % 24.83/3.59 bind(X35, q), % 24.83/3.59 bind(X36, not(p)), % 24.83/3.59 bind(X37, q) % 24.83/3.59 ], % 24.83/3.59 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 24.83/3.59 % 24.83/3.59 % SZS output end IncompleteProof %------------------------------------------------------------------------------